Abstract <p>Based on general quantum-mechanical concepts, a method of calculating the dissipative function in the general case for arbitrary interaction is suggested. Through the example of three- and four-particle interactions, sequential calculation of the dissipative function is performed according to general equation (17). From this formula, a purely estimative expression can be derived in the form <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\left\langle {\dot {Q}} \right\rangle \approx \varepsilon \gamma \)</EquationSource> <!--TechPhys2560118Gladkov-m1--> </InlineEquation>, where ε is the particle (quasi-particle) energy and γ is the damping coefficient calculated using the quasi-classical kinetic equation.</p>

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Calculation of the Dissipative Function in the Quantum Case

  • S. O. Gladkov

摘要

Abstract

Based on general quantum-mechanical concepts, a method of calculating the dissipative function in the general case for arbitrary interaction is suggested. Through the example of three- and four-particle interactions, sequential calculation of the dissipative function is performed according to general equation (17). From this formula, a purely estimative expression can be derived in the form \(\left\langle {\dot {Q}} \right\rangle \approx \varepsilon \gamma \) , where ε is the particle (quasi-particle) energy and γ is the damping coefficient calculated using the quasi-classical kinetic equation.